{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"149cb4f7-ca4a-5298-ab82-48dcc4fe1668","task_key":"precalculus--test--149cb4f7-ca4a-5298-ab82-48dcc4fe1668","task_revision_id":"1","upstream_id":"","short_description":"For positive real numbers $x,$ $y,$ and $z,$ none of which are equal to 1, find","config":"precalculus","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"For positive real numbers $x,$ $y,$ and $z,$ none of which are equal to 1, find\\n\\\\[\\\\begin{vmatrix} 1 & \\\\log_x y & \\\\log_x z \\\\\\\\ \\\\log_y x & 1 & \\\\log_y z \\\\\\\\ \\\\log_z x & \\\\log_z y & 1 \\\\end{vmatrix}.\\\\]\",\"type\":\"Precalculus\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}